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Finding the Fourth Proportional to 410,509.22, 566,894 and 388,144.72

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Solution

The fourth proportional to 410,509.22, 566,894 and 388,144.72 is: 536,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,509.22 : 566,894 = 388,144.72 : x
  2. Step 2: Convert to fraction form
    410,509.22/566,894 = 388,144.72/x
  3. Step 3: Cross multiply
    410,509.22x = 566,894 × 388,144.72
  4. Step 4: Simplify right side
    410,509.22x = 220,036,912,899.68
  5. Step 5: Solve for x
    x = 220,036,912,899.68/410,509.22
  6. Step 6: Final answer
    x = 536,009.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.